Semi-Quantum Blind Signature Against Collective Noise

Table 1. Relation between Bell measurement results and $K$ under collective-dephasing noise
View table
Table 1. Relation between Bell measurement results and $K$ under collective-dephasing noise
${|φ〉}_{13}$ Bell measurement result ${|φ〉}_{24}$ Bell measurement result $K$
$|ϕ^{+}〉$ $|ϕ^{+}〉$ 0
$|ϕ^{+}〉$ $|ϕ^{-}〉$ 1
$|ϕ^{-}〉$ $|ϕ^{-}〉$ 0
$|ϕ^{-}〉$ $|ϕ^{+}〉$ 1

Table 2. Relation between Bell measurement results and $K$ under collective-rotation noise
View table
Table 2. Relation between Bell measurement results and $K$ under collective-rotation noise
${|φ〉}_{13}$ Bell measurement result ${|φ〉}_{24}$ Bell measurement result $K$ ${|φ〉}_{13}$ Bell measurement result ${|φ〉}_{24}$ Bell measurement result $K$
$|ϕ^{+}〉$ $|ϕ^{+}〉$ 0 $|ψ^{+}〉$ $|ψ^{+}〉$ 1
$|ϕ^{+}〉$ $|ϕ^{-}〉$ 1 $|ψ^{+}〉$ $|ψ^{-}〉$ 1
$|ϕ^{-}〉$ $|ϕ^{-}〉$ 1 $|ψ^{-}〉$ $|ψ^{-}〉$ 0
$|ϕ^{-}〉$ $|ϕ^{+}〉$ 1 $|ψ^{-}〉$ $|ψ^{+}〉$ 1

Table 3. Rules of encoding $K_{S}$ with collective-dephasing noise
View table
Table 3. Rules of encoding $K_{S}$ with collective-dephasing noise
Result of logical qubits with Z basis $K_{S}$
$|01〉$ 0
$|10〉$ 1

Table 4. Rules of encoding $K_{S}$ with collective-rotation noise
View table
Table 4. Rules of encoding $K_{S}$ with collective-rotation noise
Result of logical qubits with Z basis $K_{S}$
$|00〉$ 0
$|01〉$ 1
$|10〉$ 1
$|11〉$ 0

Table 5. Rules of Alice preparation of qubits $s_{A}$
View table
Table 5. Rules of Alice preparation of qubits $s_{A}$
$m_{A}$ $s_{A}$
0 $|01〉$
1 $|10〉$

Table 6. Rules of QuS B receiving message with measurement of QuS A

View table

Table 6. Rules of QuS B receiving message with measurement of QuS A

QuS A measurement result ${\|φ〉}_{35}$	QuS A measurement result ${\|φ〉}_{46}$	QuS B measurement result ${\|φ〉}_{12}$	QuS B
${\|ϕ^{+}〉}_{35} o r {\|ϕ^{-}〉}_{35}$	${\|ϕ^{+}〉}_{46} o r {\|ϕ^{-}〉}_{46}$	$\|01〉$	$\|01〉$
${\|ψ^{+}〉}_{35} o r {\|ψ^{-}〉}_{35}$	${\|ψ^{+}〉}_{46} o r {\|ψ^{-}〉}_{46}$	$\|10〉$	$\|01〉$
${\|ϕ^{+}〉}_{35} o r {\|ϕ^{-}〉}_{35}$	${\|ϕ^{+}〉}_{46} o r {\|ϕ^{-}〉}_{46}$	$\|10〉$	$\|10〉$
${\|ψ^{+}〉}_{35} o r {\|ψ^{-}〉}_{35}$	${\|ψ^{+}〉}_{46} o r {\|ψ^{-}〉}_{46}$	$\|01〉$	$\|10〉$

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Junhui Wang, Yunxia Li, Han Guo, Jiahua Wei. Semi-Quantum Blind Signature Against Collective Noise[J]. Laser & Optoelectronics Progress, 2022, 59(19): 1927001

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Paper Information

Category: Quantum Optics

Received: Aug. 31, 2021

Accepted: Sep. 27, 2021

Published Online: Sep. 19, 2022

The Author Email: Wei Jiahua (weijiahua@126.com)

DOI:10.3788/LOP202259.1927001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Relation between Bell measurement results and K under collective-dephasing noise

Table 1. Relation between Bell measurement results and K under collective-dephasing noise

Table 2. Relation between Bell measurement results and K under collective-rotation noise

Table 2. Relation between Bell measurement results and K under collective-rotation noise

Table 3. Rules of encoding KS with collective-dephasing noise

Table 3. Rules of encoding KS with collective-dephasing noise

Table 4. Rules of encoding KS with collective-rotation noise

Table 4. Rules of encoding KS with collective-rotation noise

Table 5. Rules of Alice preparation of qubits sA

Table 5. Rules of Alice preparation of qubits sA

Table 6. Rules of QuS B receiving message with measurement of QuS A

Table 6. Rules of QuS B receiving message with measurement of QuS A

Table 1. Relation between Bell measurement results and $K$ under collective-dephasing noise

Table 1. Relation between Bell measurement results and $K$ under collective-dephasing noise

Table 2. Relation between Bell measurement results and $K$ under collective-rotation noise

Table 2. Relation between Bell measurement results and $K$ under collective-rotation noise

Table 3. Rules of encoding $K_{S}$ with collective-dephasing noise

Table 3. Rules of encoding $K_{S}$ with collective-dephasing noise

Table 4. Rules of encoding $K_{S}$ with collective-rotation noise

Table 4. Rules of encoding $K_{S}$ with collective-rotation noise

Table 5. Rules of Alice preparation of qubits $s_{A}$

Table 5. Rules of Alice preparation of qubits $s_{A}$